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Finding the Third Proportional to 1,909,408,608 and 2,852,353,548

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Solution

The third proportional to 1,909,408,608 and 2,852,353,548 is: 4,260,963,697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909,408,608 : 2,852,353,548 = 2,852,353,548 : x
  2. Step 2: Convert to fraction form
    1,909,408,608/2,852,353,548 = 2,852,353,548/x
  3. Step 3: Cross multiply
    1,909,408,608x = 2,852,353,548 × 2,852,353,548
  4. Step 4: Simplify right side
    1,909,408,608x = 8,135,920,762,788,188,160
  5. Step 5: Solve for x
    x = 8,135,920,762,788,188,160/1,909,408,608
  6. Step 6: Final answer
    x = 4,260,963,697.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.